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Finding the Fourth Proportional to 13,690.68, 20,528.66 and 7,024.43

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Solution

The fourth proportional to 13,690.68, 20,528.66 and 7,024.43 is: 10,532.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,690.68 : 20,528.66 = 7,024.43 : x
  2. Step 2: Convert to fraction form
    13,690.68/20,528.66 = 7,024.43/x
  3. Step 3: Cross multiply
    13,690.68x = 20,528.66 × 7,024.43
  4. Step 4: Simplify right side
    13,690.68x = 144,202,049.06
  5. Step 5: Solve for x
    x = 144,202,049.06/13,690.68
  6. Step 6: Final answer
    x = 10,532.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.